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SINGULAR PERTURBATIONS IN INFINITE-DIMENSIONAL CONTROL SYSTEMS.
- Source :
- SIAM Journal on Control & Optimization; 2003, Vol. 42 Issue 5, p1795-1812, 18p
- Publication Year :
- 2003
-
Abstract
- In this paper, we consider a singularly perturbed control system involving differential inclusions in Banach spaces with slow and fast solutions. Using the averaging approach, we obtain sufficient conditions for the Hausdorff convergence of the set of slow solutions in the supremum norm. We present applications of the theorem to prove convergence of the fast solutions in terms of invariant measures and convergence of equi-Lipschitz solutions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03630129
- Volume :
- 42
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Control & Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 12190469
- Full Text :
- https://doi.org/10.1137/S0363012902416080